bag contains 1 gold marble, 8 silver marbles, and 22 black marbles. someone offers to play this game: you randomly select one msrble from the bag. if it is gold, you win $3. if it is silver, you win $2. if it is black, you lose $1

bag contains 1 gold marble, 8 silver marbles, and 22 black marbles. someone offers to play this game: you randomly select one msrble from the bag. if it is gold, you win $3. if it is silver, you win $2. if it is black, you lose $1

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a blue side. The player shakes the cup and dumps out the chips. The player wins if both chips land red side up and loses if one chip lands red side up and one chip lands blue side up. The cost to play is $4 and the prize is worth $6. Is this a fair game. = Win a prize = Do not win a prize 1. Start by determining the probabilities for winning a prize and not winning a prize. Draw a probability tree to find the possible outcomes and the probabilities. After you draw the tree, check you work by clicking on the link below. Click to hide hint CHIP 1 CHIP 2 Probability P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25 0.5 0.5 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25 Start 0.5 0.5 P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25
Assume that the pond contains 120 fish: 94 aqua, 25 canary, and 1 eggplant. A contestant pays $0.55 to randomly catch one fish and receives $0.20 if the fish is aqua, $0.95 if the fish is canary, and $14.00 if the fish is eggplant. How much (on average) does the carnival gain on each play? (If the carnival loses money, enter a negative dollar amount)
A bag contains 20 marbles. 9 of them are red, 4 are black, and the rest are gold. Picking a red marble is worth $18. Black marbles are worth $10, and Gold marbles are worth $5. If you are charged $10 each time you pick a marble, how much should you expect to win or lose overall by playing this game 5 times? (You don't need a dollar sign, just the number. If you expect to lose money, use a - for negative) Plz explain.
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For his Carnival project, Chester designed a game where players pick a random marble from a bag. In the bag there are 2 pink marbles, 10 green marbles, and 8 white marbles. If players draw a pink marble they get a large candy bar prize, if they draw a green marble they get a small lollipop prize, and if they draw a white marble they get a fist bump. Chester purchased a set of 16 candy bars for $12 and a bag of 200 lollipops for $20. Answer the following questions: What is Chester's expected cost per game? $ If Chester plans for 40 people to play his game, How many candy bars should he expect to give out? How many lollipops should he expect to give out?
This game is called “Get Negative”. Roll two dice (record these in the order you roll them), and then do then do the following: take the first number rolled and subtract 2 times the second number rolled. Regardless of who rolls, Player A gets 3 points if the product is greater than or equal to 0 (i.e. it is zero or positive); Otherwise Player B gets 1 points. The players may or may not take turns rolling the dice as it does not matter who is rolling. Any player may score on any roll, and every roll will result in a score. Play the game by rolling the dice 25 times. For each turn, keep a record of both dice and the resulting answer and the points scored, according to the rules above. Tally the points and calculate the final score for each player. Remember, someone gets a point for each turn, depending on the numbers rolled. (One does not have to be rolling to receive the points.) (Note: you may test the game by yourself by doing all of the 25 rolls yourself and just giving the…
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 8 boys and 7 girls are competing, how many different ways could the six medals possibly be given out?
You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $⁢9 for heads and $⁢21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $⁢5 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.
The Moore family received 31 pieces of mail on April 27. The mail consisted of letters, bills, magazines, and ads. How many letters did they receive if they received three more bills than magazines, the same number of letters as magazines, and five more ads than bills? Keypad Answer Keyboard Shortcuts letters
You and two friends decide to go to a casino and play Blackjack. You find an empty table and sit down. The dealer shuffles and deals from a new 52 card deck. In order to win, you and your friends know that you need to either score a 21 (blackjack and automatic win) or get a higher total than the dealer. You know that a deck of cards has 13 different cards (2-10, Jack, Queen, King, and Ace), and that there are 4 copies of each in the deck. You know that an ace is equal to either 1 or 11 and that Jacks, Queens, and Kings are worth 10. The dealer deals out the following cards: You: Jack and Ace Friend 1: King and 10 Friend 2: 10 and 10 Dealer: 10 and ? The dealer is about to deal their last card. What are the following probabilities: A) What is the probability that the next card can beat your hand? B) What is the probability that the next card can tie your hand? C) What is the probability that the next card can beat your friends?
A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it. If there's a red mark on the bottom of the duck, the person wins a small prize. If there's a blue mark on the bottom of the duck, the person wins a large prize. Many ducks do not have a mark. After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize. Estimate the number of the 160 ducks that you think have red marks on the bottom. Then estimate the number of ducks you think have blue marks. Explain your reasoning.
To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $ (c) Is this game fair? Yes No